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Non-maximally Entangled Mixed States of X and Non-X Types as Teleportation Channels

Mixed spin- 1 2 states violating Bell-CHSH inequality is useful for teleportation. There exist states which do not violate Bell-inequality but is still useful as teleportation channels. Maximally entangled mixed states of Munro class and Ishizaka-Hiroshima class are such types which although satisfy...

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Bibliographic Details
Published in:International journal of theoretical physics 2024-05, Vol.63 (5), Article 113
Main Authors: Bhattacharjee, Anushree, Roy, Sovik, Ali, Md Manirul, Ghosh, Biplab
Format: Article
Language:English
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Summary:Mixed spin- 1 2 states violating Bell-CHSH inequality is useful for teleportation. There exist states which do not violate Bell-inequality but is still useful as teleportation channels. Maximally entangled mixed states of Munro class and Ishizaka-Hiroshima class are such types which although satisfy Bell-CHSH inequality, yet can perform better as teleportation channels for a given degree of mixedness (Adhikari et al., Quant. Inf. Comp. 10 , 039, 2010 ). In this work we construct class of mixed states of non-maximally entangled types whose efficacy as teleportation channels have been studied. For certain range of state parameters, these non-maximally entangled mixed states performs better as quantum teleportation channels than certain maximally entangled mixed states (such as Werner state). These constructed states, though entangled, satisfy Bell-CHSH inequality implying further that violation of local inequalities may not be good indicators of their ability to complete quantum processing tasks such as teleportation.
ISSN:1572-9575
1572-9575
DOI:10.1007/s10773-024-05638-3